Power Calculator

Introduction

Power is the rate at which work is done or the rate at which energy is transferred or converted. You can calculate the Average and instantaneous power using our Power Calculator.

Unlike Power, Work Done has no time component, so, if you push a car weighing 10000N over a distance of 1 meter, the work done is 10000 J regardless of how long it took you to push the car.

Sometimes, we need to know how quickly work is done, so we use Power, and so it is the rate of doing work. Basically, It is defined as the amount of work done within a specific time interval.

Power is expressed in watt (W), the SI unit, where 1 watt equals 1 joule per second and it is named after the Scottish inventor James Watt.

How to use the Power Calculator?

Average Power

Using the power calculator, you can calculate the average power given work done and the time taken.

The variables in the calculator include

Work (W) The amount of work done on the object

Time Taken (t) The time interval

Power (P) The rate of doing work

Instantaneous Power

Using the power calculator, you can calculate the instantaneous power given force and velocity.

Force (F) The force applied to cause the displacement

Velocity (v) The velocity of the object due to the force

Power (P) The rate of doing work

What is Power?

Power is the rate at which work is done or the rate at which energy is transferred because work done describes the transfer of energy. You could also consider it a measure of how quickly Work gets done.

The SI unit of power is the watt (W), as seen on electrical equipment such as light bulbs, stereo speakers etc. 1 Watt is equal to 1 Joule of work done in one second. Like Work, Power is also a scalar quantity.

How is Power Calculated?

Average Power

You can calculate Average power using the following formula

Pav=ΔWΔtP_{av} = \dfrac{\Delta W}{\Delta t}

Where,

W → Work done

t → time taken

Instantaneous Power

You can calculate instantaneous power using the following formula

Instantaneous power (P)=Fv\text{Instantaneous power (P)} = \vec{F} \cdot \vec{v}

F → Force acting on the particle

v → Velocity of the particle

Examples

FAQs

What is Power?

Power is the rate at which work is done, or energy is transferred. It is typically measured in watts (W) and is equal to the work done divided by the time it takes to do the work.

What is Work?

Work done is used to describe the transfer of energy. The Work is done when a force is applied to an object to move it. In other words, Work is the amount of energy transferred due to an object moving some distance because of an external force in Joules (J), the SI unit.

What are the units of work and power?

The unit of work is Joules (J), and the unit of power is watts (W) and of course, one watt is equal to one joule per second. Another common unit of power is the horsepower (hp), although it’s not part of the standard metric system.

Energy is a system’s ability to do work. Likewise, the amount of energy required to exert a force and move an object a certain distance is known as work.

The rate at which the work is done is called power.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.